Multiplying Polynomials

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Problem

Multiply several polynomials (real or complex) to create a new polynomial. This idea came from creating programs in the esoteric language Polynomial, see: http://esoteric.voxelperfect.net/wiki/Polynomial. Note that extremely large coefficients will often be in the result, so (depending on your language) it might be a good idea not to use the regular data types when multiplying.

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exec is denied

now post-mortem time, all source codes will be revealed

Sample input:_

(x + 3)(x + 9)

Sample output:

x^2 + 12x + 27

Sample input:_

(x + 4)(x - 7)(x - 2i)(x + 2i)

Sample output:

x^4 - 3x^3 - 24x^2 - 12x - 112

Sample input:_

(x - 1 - 2i)(x - 1 + 2i)(x - 243)(x - 25i)(x + 25i)(x - 7i)(x + 7i)(x - 1 - 11i)(x - 1 + 11i)(x - 4826809)

Sample output:

x^10 - 4827056x^9 + 1192223600x^8 - 8577438158x^7 + 958436165464x^6 - 4037071023854x^5 + 141614997956730x^4 - 365830453724082x^3 + 5225367261446055x^2 - 9213984708801250x + 21911510628393750

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